Saudi fingerprints were seen all over Hariri's resignation on Saturday.
Saad Hariri declared his surprise resignation on Saturday from Riyadh which fuelled beliefs he was coerced into standing down against his will.
His resignation has thrust Lebanon back onto the front line of the Middle East's most biting rivalry, pitting a mostly Sunni bloc led by Saudi Arabia and including the UAE against Shiite Iran and its allies.
Iran and Saudi Arabia are locked in a power struggle for influence in Lebanon and France has close historical ties to the Middle Eastern country, which was once its colony.
President Macron said he had held informal contacts with Hariri, but there had been no request to transfer him to France.
Saudi Arabia says the Iran-backed group Hezbollah had 'hijacked' the political system in Lebanon.
In his resignation speech, Hariri attacked Iran and Hezbollah for sowing strife in Arab states and said he feared assassination.
In Syria, Hezbollah and other Iranian-backed fighters allied with President Bashar Assad's forces have recaptured large areas and are working to secure a much-prized land corridor stretching from Tehran to the Mediterranean through Iraq, Syria and Lebanon.
By contrast, Saudi Arabia has been stuck in a fruitless war in Yemen against Iranian-backed Shiite rebels, and a Saudi bid to isolate Qatar has failed to achieve its goals.
Hariri, a Sunni Muslim leader, had faced the seemingly impossible task of presiding over a government under the control of Iran-backed Hezbollah.